Torque vs Horsepower

dmitrik4 said:
it's just thatbguy's weird notation scheme. it helps to keep track of which quantity you are dealing with (torque or work), but mathematically, it makes no difference.

the key is rememberng that the the torque "length" and the work "length" are entirely different animals. they refer to different distances.

and yes, the english system does suck. honestly, two different kinds of "lbs?" gah.

unit notation aside, the notion that power = speed and that it's better to make X torque at high rpms than X torque at low still holds true.
indeed...why the english system uses lbs as A) weight, B)force and for the utterly confused C) mass is ridiculous...the entire system is so confusing and flawed, it should be illegal...Horsepower in itself is just as bad...just some random quantity based on a ******' ft-lb...

For example...Power is the time rate of change of work, which has the same units as torque (N-m or lb-ft or whatever)...the instantaneous power, which is what you need to assign a certain magnitude with an rpm, is the derivative of work with respect to time...

So you have a N-m's making up the y-axis...and time, in seconds, making up the X-axis for the graph...the derivative is the slope of the tangent at one point, which has units in terms of y/x or N-m/s in this case...and 1N-m/s is 1 Joule/s...and that is one 1 watt...

Fair enough...But here comes the brits...1 watt is .738 ft-lbs!!!!!!!!

and one hp is 550 ft-lbs/s, or 768 Watts...HP is based on the british system...and for that reason, I don't like it...

From this day forth my engine's output is going to be presented in the form of Joules per second...multiply your whp number by 768, and you can be as cool as me...
 
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you guys just confused the **** out of me, and i know what both are because ive taken several physics classes.
 
sam1, I think you have the right idea. . . take a few physics courses. There's a lot of confusion here. I was going to stay out of it, but I can only resist for so long.

So far, Installshield 2 and dimitrik4 are on the right track.

Installshield 2 lost a few pionts with me from this statement "why the english system uses lbs as A) weight, B)force and for the utterly confused C) mass is ridiculous..." (scratch) SAE or metric, weight is the product of gravitational acceleration acting on mass. So that just narrows it down to two 1) pounds force (lbf) or 2) pounds mass (lbm). Still can be confusing, but there's still a correlation --> gravity.

Same with dimitrik4 with "torque = lb-m*ft = ft*lb-m = lb-ft". In the SAE system, we rarely work with pounds mass (lbm). Oftentimes, we are referring to pounds force (lbf).

Installshield 2 and dimitrik4 both identified that torque and work are different. In order for work and torque to relate, you need translation. For example, take one point on the outside of a tire. Lift the vehicle and spin the tire one complete revolution. The spot is in the same place. No work was done. (bike) Now, lower the vehicle, start it, put it in gear and allow the vehicle to move so that the tire rotates one complete revolution. Now the same spot has moved the same distance forward as the circumferance of the tire, provided you didn't peel out. Alas, work was performed. A force was applied (torque translated via a moment arm) and the point is in a different spot, so we now have displacement. So how do you find the circumferance of the tire? Hmmm, I seem to remember the circumferance of a circle was 2πr. Well, π is a constant frequently abreviated down to 3.14. So we can simplify and say 6.28r. 6.28 sound familiar? Gen1GT mentioned it earlier. 6.28 = 2π = 1 revolution. Unfortunately, shortly after he posted this: So if 1hp is equal to 33,000ft/lbs per minute, how do you explain the formula of hp=torque*RPM/5252? If we use ft/lbs in that formula, it would be off by a factor of 6.28. Fact is, the British system IS retarded, and there IS a difference between ft-lbs and lb-ft. 1 lb-ft is equal to 6.28ft-lbs. Which is how 33,000 is factored down to 5252.

In this situation, all the units cancelled out except for the R in RPM. The R stands is for revolutions, which is why the factor of 6.28 is needed.

EDIT:
I got a little side-tracked by the physics discussion. I wanted to add to the original discussion on torque and horsepower. Think of pushing something to make it spin, like the pedals on a single speed bicycle. Remember how much it sucked because the bigger kids had 10-speeds or better and they were able to go much faster? That's were torque is used.

Pretend you're at a standstill. In order to get started, you have to push fairly hard. That's a high amount of torque, but low speed, so low HP. Now your up to speed and cruising - little effort, low torque, low HP. Now you want to speed up so you pedal faster, high torque, high HP. Now you are going as fast as you can on your little single speed, you can't speed up anymore because your feet can't push hard while going that fast. Guess what? Since you couldn't push hard, you couldn't apply anymore torque and you weren't able to accelerate anymore. You reached the end of your torque curve. Now if you had more POWER, you would've been able to push hard even though you were going that fast. See how HP can benefit?

Next thing you know, you've turned 12 and your folks bought you a 10-speed. You can go fast without having to pedal your heart out. You've just used gearing to take advantage of your powerband. Congratulations and happy birthday!!!

So HP is not quite how fast you can make torque, more like, the ablility to deliver torque while going that fast. Because if the torque you're providing translates to a force greater than the forces acting against you (friction or drag) you can accelerate. Once the forces equal, you can no longer accerlerate. If you can't accelerate, you can't make HP.

Thank you for your time. Keep up the good work.(naughty)
 
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GNO said:
Same with dimitrik4 with "torque = lb-m*ft = ft*lb-m = lb-ft". In the SAE system, we rarely work with pounds mass (lbm). Oftentimes, we are referring to pounds force (lbf).
good summary gno. although i'd say we use lbm much more than lbf, just like a kg is more easily relateable than a Newton. we use lb in terms of mass in everyday life..."1 lb = 2.2kg"

i may have been mistaken when i wrote the above...in fact, i'm sure of it now, since torque requires a force, not just a mass. i had the units scrambled in my head.
 
dmitrik4 said:
good summary gno. although i'd say we use lbm much more than lbf, just like a kg is more easily relateable than a Newton. we use lb in terms of mass in everyday life..."1 lb = 2.2kg"
Now which system is messed up!!! Let's say your car broke down and you've got to push it to the side of the road, how hard are you pushing? We'll, you can think back to when you tried to bench press 220lbs and you're putting about that much force into it, so you are exerting about 220lbs of force. Well, that same 220lbs is 100kg, so you've exerted 100kg of force right? Wrong! kg is a mass so you turn around and push with your back against the car then bust out your TI-45 and find the force you're exerting is 980,000N. (Someone pull out their TI and check that please, I might've screwed up a decimal place, couldn't remember if N = g m/s or N = kg m/s.) You look at the big number, scare yourself, and then end up with a hernia.

If I tell you I weigh 115kg. Does that strike you as odd? Okay 253lbs is a bit more than the average Protege driver, but weight is a force so I don't weigh 115kg, I have 115kg of mass. In the non-American countries, does the doctor ask you to step on the scale to check your weight or to check you mass?

Someone hand me an American flag to wave.
 
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GNO said:
Installshield 2 lost a few pionts with me from this statement "why the english system uses lbs as A) weight, B)force and for the utterly confused C) mass is ridiculous..." (scratch) SAE or metric, weight is the product of gravitational acceleration acting on mass. So that just narrows it down to two 1) pounds force (lbf) or 2) pounds mass (lbm). Still can be confusing, but there's still a correlation --> gravity.
yeah not sure what I was getting at...I think I meant "and the utterly confusing"...I know it is used all the time for all three...but the classes I have taken urge you to get away from habits such as that, because it is extremely easy to screw things up...I always use Newtons for weight (except my own weight...) Kg for mass, and Newtons for force (albeit with a corresponding accleration for that particular force)...just because it is easier to convert into different terms...

GNO,...100kgs is 980 Newtons...so yeah the decimal place is a little off...Newton units are Kg*9.8m/s/s, for weights...but with Forces and newton's second law...its whatever acceleration corresponds to what you are talking about...but Newtons are simply a mass*accel...

I need sleep though, I just had a physics final today that destroyed me, and I haven't slept since thursday morning...
 
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For the love of Pete, this thing got WAY out of hand. It's nice to see so many intelligent and well-informed people can bring some good s*** to the table. Unlike other Protege Clubs, who's name has the word Toronto in front of it. Whoops, was that a diss? I think it was.......
 
Gen1GT said:
Foot pounds, and pound feet, as stupid as it is, are different. This explains it better than I ever could....

http://www.superstang.com/horsepower.htm

No foot-pounds and pound-feet are not different.

Yes the words are ordered differently but that is it. They are the same thing. It is what we call a moment. A force (lb) multiplied by a distance (feet) in this case is a moment. An increase in moment represents a larger rotational force. This is why a larger wrech handle makes it easier to remove those rusted wheel nuts. Torque is the term used to describe a moment under many situations such as wheel rotational force or wrench rotational force.

Okay to sum up slightly:

pound (lb) --- force
lb-ft or ft-lb --- work
(lb-ft)/sec --- power

if anyone needs clarification on work, energy and power well my services are available for a small fee :)

Drew
 
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Installshield 2 said:
I thorougly hate english measuring...that is what is getting this all screwed up...

Work is a product of Force and displacement...Force is rarely represented as a measure of lbs...but more often as a mass times 9.8m/s/s, which is in terms of Newtons...and work comes to be represented in terms of a N-m, or newton meter...meter newton means the same thing...and 1N-m, is one Joule, which is one kg-m^2/s^2 (which is also the measure of kinetic energy)

Regardless of what you use...A force times a displacement, is the same as a displacement times a force...if one is zero...the work is zero...

This article tries to illustrate that a force times a displacement is different than a displacement times a force...and perpetuates this goofy notion by using confusing ass british measurements...

As mentioned earlier, torque is a product of a force times a length...exactly like work...but they mean completely different things...torque refers to one force, and a length as a magnitude ( it won't be negative, and it won't be zero)...this length is of the moment arm of what is creating the force...the longer the moment arm with the same force, the greater the torque on the rotating (or attempted rotation) object...

Torque is also represented in terms of N-m, or lb-ft, or ft-lb (they are products...it doesn't matter)...But you use different lengths to determine which is work and which is torque...they are not the same, despite being in terms of the same symbols...

Here is a simple example...You are trying to open a door by pushing it...the distance from the hinge to the door knob is one meter...The torque on the door (more correctly, the hinges) will be the force with which you push, times one meter...so simply the force you push with...If you push with 100N's...the torque will be 100 N-m's...

the Work is much more different, and is related to a linear displacment...the circumferance of the door moving 90* will be 1/4(2(3.14)1.. .which is 1.57m...So the door moves 1.57 meters when being open from shut to 90*...

So when you push the door with 100Ns and move the edge of the door a linear distance of 1.57m, you have done 100 X 1.57 N-m's of work on the door or 157 N-m's...That is the difference between the too...

That is a bit of a bad example in that the torque is being applied to the hinges, and the work is to the whole door...that is part of the difficulty of relating the two...But hopefully this illustrates that lb-ft and ft-lbs are indeed the same thing...and both can be used to describe both torque and work...But torque and work are not the same thing...so you have to know what the number represents...

Nicely put.
 
Installshield 2 said:
indeed...why the english system uses lbs as A) weight, B)force and for the utterly confused C) mass is ridiculous...the entire system is so confusing and flawed, it should be illegal...Horsepower in itself is just as bad...just some random quantity based on a ******' ft-lb...

For example...Power is the time rate of change of work, which has the same units as torque (N-m or lb-ft or whatever)...the instantaneous power, which is what you need to assign a certain magnitude with an rpm, is the derivative of work with respect to time...

So you have a N-m's making up the y-axis...and time, in seconds, making up the X-axis for the graph...the derivative is the slope of the tangent at one point, which has units in terms of y/x or N-m/s in this case...and 1N-m/s is 1 Joule/s...and that is one 1 watt...

Fair enough...But here comes the brits...1 watt is .738 ft-lbs!!!!!!!!

and one hp is 550 ft-lbs/s, or 768 Watts...HP is based on the british system...and for that reason, I don't like it...

From this day forth my engine's output is going to be presented in the form of Joules per second...multiply your whp number by 768, and you can be as cool as me...

oops 1HP = 746W

well there is the notion of a metric HP and a boiler HP and others but they are not widely used or accepted. When someone publishes a horse power they mean 745.700 Watts
 
True...

There is also PS, and DIN BHP...compared to SAE Bhp, which are all derived a little differently...The above calculations were right out of a fundamental physics book...and I do not know what type of hp it was referring to...
 

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